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Finding the Fourth Proportional to 863.41, 1,190.79 and 531.24

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Solution

The fourth proportional to 863.41, 1,190.79 and 531.24 is: 732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.41 : 1,190.79 = 531.24 : x
  2. Step 2: Convert to fraction form
    863.41/1,190.79 = 531.24/x
  3. Step 3: Cross multiply
    863.41x = 1,190.79 × 531.24
  4. Step 4: Simplify right side
    863.41x = 632,595.28
  5. Step 5: Solve for x
    x = 632,595.28/863.41
  6. Step 6: Final answer
    x = 732.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.